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ON GRAPHS ASSOCIATED WITH MODULES OVER COMMUTATIVE RINGS

  • Pirzada, Shariefuddin;Raja, Rameez
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1167-1182
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    • 2016
  • Let M be an R-module, where R is a commutative ring with identity 1 and let G(V,E) be a graph. In this paper, we study the graphs associated with modules over commutative rings. We associate three simple graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ to M called full annihilating, semi-annihilating and star-annihilating graph. When M is finite over R, we investigate metric dimensions in $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$. We show that M over R is finite if and only if the metric dimension of the graph $ann_f({\Gamma}(M_R))$ is finite. We further show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if M is a prime-multiplication-like R-module. We investigate the case when M is a free R-module, where R is an integral domain and show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if $$M{\sim_=}R$$. Finally, we characterize all the non-simple weakly virtually divisible modules M for which Ann(M) is a prime ideal and Soc(M) = 0.

Study on the Role of Metal ions for the Activity of the Mitochondrial $F_1-ATPase$ in Lentinus edodes (표고버섯의 Mitochondrial $F_1-ATPase$ 활성도에 미치는 금속이온의 역할에 관한 연구)

  • Park, Sang-Shin;Min, Tae-Jin
    • The Korean Journal of Mycology
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    • v.22 no.2
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    • pp.122-129
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    • 1994
  • The role of metal ions for the activity of the mitochondrial $F_1-ATPase$ was studied. Removal of non-heme iron ion from the mitochondria by dialysis against chelating agents, 10 mM ethylenediaminetetraacetic acid(EDTA) and 10 mM o-phenanthroline(o-Phe), led to 56% and 49% inactivation of the enzyme, respectively. The enzyme dialyzed against EDTA was reactivated 81% by the addition of 0.5 mM $Fe^{3+}$ and 70% by 0.5 mM $Mg^{2+}$. But, $Fe^{2+}$ did not reactivate the enzyme. Coexistence of 0.5 mM $Fe^{2+}$ and 0.5 mM $Mg^{2+}$ resulted in 95% reactivation of the enzyme, while $Fe^{3+}$ with 0.5 mM $Mg^{2+}$ did not reactivate the enzyme like the effect of $Fe^{2+}$ alone. The enzyme dialyzed against o-Phe showed the similar results. These data showed that $Fe^{3+}$ is predominantly required for the activity of the mitochondrial $F_1-ATPase$ in Lentinus edodes and stimulated the activity of it by $Mg^{2+}$. $Fe^{3+}$ and $Mg^{2+}$ increased enzyme's affinity for substrate, decreasing the Km value 1.67 mM to 0.65 mM.

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The Regulation of Uric Acid on the Biosynthesis of Serratia marcescens and Lactobacillus plantarum Purine Nucleoside Phosphorylase (Serratia marsecscens 와 Lactobacillus plantarum Purine Nucleoside Phosphorylase의 생합성에 대한 요산의 조절)

  • Choi, Byung-Bum
    • Korean Journal of Food Science and Technology
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    • v.33 no.3
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    • pp.361-365
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    • 2001
  • The effects of purine catabolites in growth media on the biosynthesis of Serratia marcescens and Lactobacillus plantarum purine nucleoside phosphorylase (PNP) activity were examined. Serratia PNP activity was decreased approximately by 30% in the presence of high concentrations of inosine $(5{\sim}15\;mM)$, but was not affected at low concentrations of inosine $(0.1{\sim}1\;mM)$. However, Lactobacillus PNP activity was increased above 60% by inosine among the range from 5 to 15 mM. Serratia PNP activity was decreased approximately by 45% in the presence of high concentrations of hypoxanthine $(5{\sim}15\;mM)$, but was not affected at low concentrations of hypoxanthine $(0.1{\sim}0.5\;mM)$. Lactobacillus PNP activity was increased approximately by 20% in the presence of low concentrations of hypoxanthine $(0.1{\sim}0.5\;mM)$, and increased approximately by $50{\sim}65%$ in the presence of concentrations of hypoxanthine $(1{\sim}15\;mM)$. Serratia and Lactobacillus PNP activity was increased 20% by low concentrations of uric acid (0.5 mM), but was decreased $40{\sim}80%$ at high concentrations of same purine catabolite $(10{\sim}15\;mM)$. These data suggest that purine nucleoside phosphorylase in Serratia marcescens ATCC 25419 and Lactobacillus plantarum ATCC 8014 is positively regulated by a low uric acid concentration, and then may play a regulatory role in a purine nucleotide catabolic pathway.

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Partial Purification and General Properties of Yeast Acetolactate Synthase (효모 Acetolactate Synthase의 부분 정제와 일반 특성 연구)

  • Koh, Eun-Hie;Song, Soo-Mee;Kim, Sun-Young
    • Journal of the Korean Chemical Society
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    • v.39 no.6
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    • pp.459-465
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    • 1995
  • Acetolactate Synthase (ALS) was partially purified from the yeast and its basic biochemical studies were carried out. Yeast was grown in the minimum media containing 0.5% glucose, 51 mM $K_2HPO_4$, 22 mM $KH_2PO_4$, 8 mM $(NH_4)2SO_4,\;0.4\;m M\;MgSO_4$ for 18 hours at 37 $^{\circ}C$. The cell was ruptured in the buffer (20 mM phosphate buffer pH 7.0, 0.1 mM TPP, 0.5 mM DTT, 1 ${\mu}M$ FAD, and 1 mM MgCl_2$) following an overnight suspension. The supernatant fraction was collected from $10,000{\times}g$ and the enzyme was further purified by ammonium sulfate fractionation, DEAE-Sephacel chromatography and leucine-agarose chromatography. The enzyme activity was measured under the various conditions by the function of protein concentration, time, temperature, pH, and substrate. The optimum temperature was found to be 50$^{\circ}C$, optimum pH 8.0∼8.5. The kinetic parameters, $K_m\;and\;V_{max}$ were 8.4 mM and 17.9 nmol/mg/min respectively. Stability of the enzyme was studied with ethylene glycol and glycerol added to the enzyme solution. Both ethylene glycol and glycerol improved the enzyme stability up to 50%. The study of feedback inhibition showed that valine was a strong inhibitor while leucine was a weak inhibitor.

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Expression of Matrix Metalloproteinases (MMPs) and Their Tissue Inhibitors (TIMPs) in Frozen Sperm of Rabbit (동결융해 후 토끼 정자의 Matrix Metalloproteinases (MMPs)와 Their Tissue Inhibitors (TIMPs) 발현 양상)

  • Kim, Sang Hwan;Choi, Hwa Sik;Yoon, Jong Taek
    • Journal of Animal Reproduction and Biotechnology
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    • v.34 no.3
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    • pp.247-252
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    • 2019
  • We observed MMPs expression in all sperm groups, with pro-MMP showing lower expression than active MMPs. According to the results from each freezing extender, the sperm membrane integrity (HOST: Hypoosmotic Swelling Test) analysis in TCGGD (Tris 250 mM, Citric acid 88 mM, Glucose 47 mM, Glycerol 3%, Dimethylsulpoxide 3.5 M) is 59.8 ± 0.7, TCGSD (Tris 250 mM, Citric acid 88 mM, Glucose 47 mM, Sucrose 0.1 M, Dimethylsulpoxide 3.5 M) is 59.3 ± 0.5 were significantly higher (p < 0.05) among the experimental groups. And MMPs analysis result, we observed MMPs expression in all sperm groups, with pro-MMP showing lower expression than active MMPs. The expression of active MMP-2 was the highest in sperms frozen in TCGSD and TCGD (Tris 250 mM, Citric acid 88 mM, Glucose 47 mM, Dimethylsulpoxide 3.5 M), Meanwhile, sperms from the TCGGD and TCGED (Tris 250 mM, Citric acid 88 mM, Glucose 47 mM, Ethylene glycol 3%, Dimethylsulpoxide 3.5 M) group showed lower level of active MMP-2 expression. Together, these results indicate that adding glycerol or sucrose to the sperm freezing buffer would not only suppress MMPs expression but also minimize DNA fragmentation, providing a mean to improve the success rate in the in vitro manipulation of rabbit sperms. Therefore, these results suggest that TCGGD or TCGSD extender method for freezing-thawing of rabbit sperm increased the viability after thawing.

The Regulatory Role of Serratia marcescens Threonine Dehydratase in a Isoleucine Biosynthesis (이소루신 생합성 과정에서 Serratia marcescens Threonine Dehydratase의 조절 역할)

  • 최병범;방선권;김승수
    • The Korean Journal of Food And Nutrition
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    • v.9 no.4
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    • pp.372-378
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    • 1996
  • The effects of branched chain amino acids and metabolites in growth media on the biosynthesis of Serratia marcescens threonine dehydratase activity were examined. The enzyme activity was decreased above 60% by leucine among the range from 1 to 20 mM, and the enzyme activity was decreased approximately 20% by a low concentration of valine (1 to 4 mM), but not affected at high concentration (20 mM). However, the enzyme activity was increased approximately 100 to 140% by a low concentration of isoleucine (1 to 4 mM), but decreased approximately 25 to 80% at high concentration (15 to 30 mM). The enzyme activity was decreased by 25 and 58% by the simultaneous addition of all three branched chain amino acids at 2 and 10 mM concentration, respectively, but increased by 75 and 50% by the combination addition of isoleucine plus valine and isoleucine plus leucine at 2 mM, respectively. cAMP was decreased the enzyme activity approximately 10 to 40% by a low concentration (1 to 2 mM), but increased by 80% at high concentration (10 mM). These data suggest that S. marcescens threonine dehydratase should be multivalently repressed by branched chain amino acids, but positively regulated by a low isoleucine concentration and may play a regulatory role in an isoleucine biosynthetic pathway unlike the E. coli K-12 enzyme.

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The Effect of Low Concentrated Hypoxanthine and FSH in 10% FBS Supplemented Medium on Immature Oocyte in vitro Maturatio (낮은 농도의 Hypoxanthine과 FSH가 미성숙난자의 체외성숙에 미치는 영향)

  • Han, Hyuck-Dong;Lim, Chang-Kyo;Youm, Hyun-Sik;Hyon, Naomi Na-Hyoung;Lee, Ji-Hyang;Hong, Me
    • Clinical and Experimental Reproductive Medicine
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    • v.36 no.3
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    • pp.175-186
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    • 2009
  • Objective: We examined the effect of different culture media on oocyte maturation. Methods: Four groups of media, (1) 0.3% BSA mBASAL-XI-HTF, (2) 0.3% BSA mBASAL-XI-HTF with FSH, (3) 10% FBS mBASAL-XI-HTF and (4) 10% FBS mBASAL-XI-HTF with FSH were prepared. Mouse cumulus enclosed oocytes (CEOs) were incubated in each group of medium. Hypoxanthine (Hx) was mixed to each group of medium in increasing concentrations of 1 mM, 2 mM and 4 mM. CEOs were incubated and assessed for GVBD and MII development at 3, 6, 18 hours. Results: CEOs maturation to GVBD was seen in all four groups during 3 hours of culture, however MII stage of oocytes was seen after 6 hours. Complete arrest of GV stage in 4 mM Hx media without FSH and partial arrest in 2 mM Hx media without FSH were seen during 18 hours of culture but development was not suppressed in 1 mM Hx media without FSH. More prominent GVBD suppression was noted at early 3, 6 hours culture in 1 mM, 2 mM Hx media with FSH compared to media without FSH. But the suppression was recovered at 18 hours. This result suggests that low concentrated Hx and FSH supplemented media can suppress CEOs maturation during early culture period but recovery is resumed or even stimulated at late period. 1 mM, 2 mM Hx 10% FBS medium with FSH had significantly higher rates of MII development (71.7%, 66.7%) at 18 hours compared to other media. Conclusion: Our results show that low concentrated Hx and FSH supplemented 10% FBS media may stimulate MII development after an initial inhibitory effect.

PROJECTIVE AND INJECTIVE PROPERTIES OF REPRESENTATIONS OF A QUIVER Q = • → • → •

  • Park, Sangwon;Han, Juncheol
    • Korean Journal of Mathematics
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    • v.17 no.3
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    • pp.271-281
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    • 2009
  • We define injective and projective representations of a quiver $Q={\bullet}{\rightarrow}{\bullet}{\rightarrow}{\bullet}$. Then we show that a representation $M_1\longrightarrow[50]^{f1}M_2\longrightarrow[50]^{f2}M_3$ of a quiver $Q={\bullet}{\rightarrow}{\bullet}{\rightarrow}{\bullet}$ is projective if and only if each $M_1,\;M_2,\;M_3$ is projective left R-module and $f_1(M_1)$ is a summand of $M_2$ and $f_2(M_2)$ is a summand of $M_3$. And we show that a representation $M_1\longrightarrow[50]^{f1}M_2\longrightarrow[50]^{f2}M_3$ of a quiver $Q={\bullet}{\rightarrow}{\bullet}{\rightarrow}{\bullet}$ is injective if and only if each $M_1,\;M_2,\;M_3$ is injective left R-module and $ker(f_1)$ is a summand of $M_1$ and $ker(f_2)$ is a summand of $M_2$.

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Machine to Machine Commerce(M2M Commerce) in the New Era of Network Convergence

  • Gauba, Mike
    • Information and Communications Magazine
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    • v.20 no.11
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    • pp.1550-1559
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    • 2003
  • The convergence of fixed and wireless networks in data communication is providing the necessary driver for M2M commerce to take-off. The opportunities provided by M2M Commerce areonly limited by imagination. Automotive Fleet and Freight, Tolling, Water and Power Metering, Supply Chain Management including Asset Management, Remote Monitoring and Diagnostics, Energy Management and Access Control and Security are among the many M2M applications that are currently getting rolled out. ARC Group expects the worldwide solutions market to be worth in excess of US$ 100 billion by 2007. In addition, operator revenues worldwide from the transport of Telematics data alone will rise from US$ 3.5 billion in 2002 to US$ 78 billion by 2007. This paper discusses some of the lifestyle and business opportunities provided by M2M Commerce in the new ear of network convergence. It also provides some case studies to demonstrate the benefits of M2M Commerce across the supply chain. The key focus of the paper is on achieving enhanced lifestyle, cost reduction, improved profitability and enhanced customer relationship management through M2M Commerce.

A Study on Gateway Device based M2M Communication in Mobile Communication System (이동통신 시스템에서 게이트웨이 디바이스 기반 M2M 통신 연구)

  • Youn, JooSang;Hong, Yong-Geun
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.10a
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    • pp.603-606
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    • 2012
  • M2M 서비스를 통한 통신 모델은 MTC 디바이스와 MTC 서버 통신 모델 기반으로 이루어졌다. 하지만 최근 이동통신 시스템 기반으로 M2M 서비스가 개발되면서 다양한 M2M 서비스 개발을 위해 디바이스간 직접 통신 및 게이트웨이 기반 M2M 서비스 통신 모델에 관한 기술표준이 3GPP SA1에서 추진 중이다. 이와 관련된 기술은 3GPP SA1 TR 22.888(MTCe: Study on Enhancements for MTC) 문서를 통해 개발 중이며 주요 내용은 MTC capillary network 구축 및 MTC 게이트웨이 디바이스 역할 등을 기술하고 있다. MTC capillary network 구성의 목적은 non-3GPP M2M 디바이스를 이동통신 시스템을 통해서 M2M 서비스를 제공하기 위함이다. 본 논문에서는 이와 관련된 표준기술 및 use case를 분석한다.

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